Create a list of steps, in order, that will solve the following equation.3(x+2)2=48Solution steps:\begin{tabular}{|c|}\hline \begin{tabular}{c} Add 2 to \\both sides\end{tabular} \\\hline \begin{tabular}{c} Divide both \\sides by 3\end{tabular} \\\hline \begin{tabular}{c} Multiply both \\sides by 3\end{tabular} \\\hline \begin{tabular}{c} Subtract 2 \\from both \\sides\end{tabular} \\\hline\end{tabular}…Square both sidesTake the square root of both sides
Q. Create a list of steps, in order, that will solve the following equation.3(x+2)2=48Solution steps:\begin{tabular}{|c|}\hline \begin{tabular}{c} Add 2 to \\both sides\end{tabular} \\\hline \begin{tabular}{c} Divide both \\sides by 3\end{tabular} \\\hline \begin{tabular}{c} Multiply both \\sides by 3\end{tabular} \\\hline \begin{tabular}{c} Subtract 2 \\from both \\sides\end{tabular} \\\hline\end{tabular}…Square both sidesTake the square root of both sides
Divide by 3: Divide both sides by 3 to isolate the squared term; 3(x+2)2=48 becomes (x+2)2=16
Take square root: Take the square root of both sides to solve for x+2; (x+2)2=16 gives us x+2=±4
Subtract 2: Subtract 2 from both sides to solve for x; x+2−2=±4−2 results in x=±4−2
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